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# Title: [Problema Austriacum Plus Ultra Quadratura Circuli] Problema Avstriacvm Plvs Vltra Qvadratvra Circvli (shelfmark Leibn. Marg. 230, Stück 1)
# Folio 612, page id 1815201908:0669
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# Lines: 61 recognised, mean confidence 0.78
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111II
ha-
TYPF R BO L
Demonstratio.
iccancur DM, EN, BP
HIO aequidictances AR. crie
o atl
ParSIcomeTiNE L C, _ GPHIO
bceccta paco lcsmena AOL
onde proporcionalia luncleomen
TA DMNE, NEL C, Ccemen
eDBF, F BL aGuales sunee segmencis
is OPTTO, TTOLC aequales sunc dfigura OBH
D
HIB L. manitectum ixirur est eandem esse raCOHCM HBUTX DBF 2d P. B L, quXe CA
Aguxx (BFI ad HIBI. Ouod tuic demonstrandum.
eROPOSITIOCLIX
Donancur denuo dux hyperbola inter ealdem asymprocos angulum
Lrecum constiruentes, de parabola ADC, habens axem AD occur
IX C F in B _ deIETaTUF FFIC:
Dico HG, ED, FG, CD quaruor else in continua analosid. 2 13C.
n tis
un
2a huiur
Demonstratio.
DExpropolcionem huius 77. Cotistat
TIOHD, FC camdem continuare
rarionem: Sed ve D R ad HG, ita cest
CA ad AD, hocFCADC dd FC
isicurbe HIO ad FD, id est FD ac
EiC+, ica eAt F G ad C D. iricur conti-
nuane eamdem rationem recta H
ED, FO, CD: quod tuie demonstran.
1it
E1L 34C1
rat F C. txperbola in puncto C, per quodagatur C D alympeoco paral
lcla, quae sectioni BE OCcurrat in E, iunetaque AF. occurrachyperbo.
p.HI Eu Sd 
Idem posicis que prius, ex puncto D,  quo paca Vola B C minorile.
curric, demictatur D IE parallela alymproco.
ctioni.
C. L. X.
EI, criplicacam habere rarionem eius quam habet HC
e
a
13 53GE
Demonstratio V LS.B L
11330O 5.1
erpraecedenrem in Continua TanE, 29G.
10gia L
iF. L, HTC, CL. Fario insyPCE
I ad D K, id es ∞ B L ad R B, duplicara
esthracionis D. R ad Co Tdiditur EL Mme
dIAPONAEUIEINCCF RL, DR; rectae quoque
B I, LM. DK, C:Tproporcionales sunei dua
igicur series sune continuara CP, IIC, F 1
C; IteM GTT, DR, T. NE, F. I: habencque
communem primam CL. quare rario FC
L R
ad TF. qllateae ad quarram iplCala elC Lattonl EC ad R D, secundx 2d secun.
dam.